Prove by the method of induction that: \( \mathrm{P} \) \[ 2+5+8+11...

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Prove by the method of induction that:
\( \mathrm{P} \)
\[
2+5+8+11+\ldots+(3 n-1)=\frac{1}{2} n(3 n+1), n \in N
\]
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